13131011112313 has 16 divisors (see below), whose sum is σ = 13689336010752. Its totient is φ = 12581117640000.

The previous prime is 13131011112257. The next prime is 13131011112343. The reversal of 13131011112313 is 31321111013131.

It is a cyclic number.

It is not a de Polignac number, because 13131011112313 - 2¹⁷ = 13131010981241 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13131011112343) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 97786048 + ... + 97920238.

It is an arithmetic number, because the mean of its divisors is an integer number (855583500672).

Almost surely, 2^{13131011112313} is an apocalyptic number.

It is an amenable number.

13131011112313 is a deficient number, since it is larger than the sum of its proper divisors (558324898439).

13131011112313 is a wasteful number, since it uses less digits than its factorization.

13131011112313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165576.

The product of its (nonzero) digits is 162, while the sum is 22.

Adding to 13131011112313 its reverse (31321111013131), we get a palindrome (44452122125444).

The spelling of 13131011112313 in words is "thirteen trillion, one hundred thirty-one billion, eleven million, one hundred twelve thousand, three hundred thirteen".